Question

Find a quadratic polynomial -3/2 root 5 and whose sum and product are -1/2 respectively.

Answer 1

Answer:

Step-by-step explanation:

Sum of the roots = -b/a = 2 + root5 (alpha + beta)

Product of the roots = c/a = 2 x root 5 (alpha x beta)

a = 1 , b = - 2 - root 5 , c = 2 x root 5

Now we can form the polynomial based on the above values.

x^2 + (-2-root5)x+ 2xroot5 is the required polynomial.